Find the LCM of 998, 604, 604, 682 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 998, 604, 604, 682. So, keep reading to learn more.
Given numbers are 998,604,604,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,604,604,682 is 102776036.
Find LCM of 998,604,604,682 with Prime Factorization
2 | 998, 604, 604, 682 |
2 | 499, 302, 302, 341 |
151 | 499, 151, 151, 341 |
499, 1, 1, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 151 x 499 x 1 x 1 x 341 = 102776036
Therefore, the lowest common multiple of 998,604,604,682 is 102776036.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
998 x 604 x 604 x 682 = 248306902976
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
998 : 1, 2, 499, 998
604 : 1, 2, 4, 151, 302, 604
604 : 1, 2, 4, 151, 302, 604
682 : 1, 2, 11, 22, 31, 62, 341, 682
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,604,604,682, is 2.
Now, the common factors can be found like this.
998:2x 499
604:2x 2x 151
604:2x 2x 151
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 151 = 1208
Therefore, the value for common factors is 1208.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 248306902976/(2x1208)
LCM = 248306902976/2416
LCM = 102776036
Thus, we can understand that the LCM of 998,604,604,682 is 102776036.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 604, 604, 682?
Answer: LCM of 998, 604, 604, 682 is 102776036.
2. How to calculate the LCM of 998, 604, 604, 682?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 998, 604, 604, 682.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.